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Finding the Fourth Proportional to 31,857.51, 43,959.54 and 17,514.98

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Solution

The fourth proportional to 31,857.51, 43,959.54 and 17,514.98 is: 24,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.51 : 43,959.54 = 17,514.98 : x
  2. Step 2: Convert to fraction form
    31,857.51/43,959.54 = 17,514.98/x
  3. Step 3: Cross multiply
    31,857.51x = 43,959.54 × 17,514.98
  4. Step 4: Simplify right side
    31,857.51x = 769,950,463.91
  5. Step 5: Solve for x
    x = 769,950,463.91/31,857.51
  6. Step 6: Final answer
    x = 24,168.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.